Question

A punch recipe that serves 24 calls for 1/3cup of lemon juice. If Mike plans to make only enough punch to serve 12 people, how much lemon juice will he need? Explain how you found your answer.

Answer 1

Mike needs 1/6 cup of lemon juice to serve 12 people.

Explanation:

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

Using ratio:

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

Cross product:

1*12 = 72*x

12 = 72x

Divide both sides by 72:

x= 12/72

= 1/6

x= 1/6

Mike will need 1/6 cup of lemon juice to serve 12 people

Answer 2

Mike will need 1/6 cup of lemon juice to serve 12 people

Explanation:

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

Using ratio

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

Cross product

1*12 = 72*x

12 = 72x

Divide both sides by 72

x= 12/72

= 1/6

x= 1/6

Mike will need 1/6 cup of lemon juice to serve 12 people